Anodyne is a 2D, topdown adventure game where you explore dungeons and landscapes in the dream world of the a human named Young. Anodyne's dungeons are influenced by the Game Boy Zeldas, and the aesthetics are influenced by Yume Nikki. Anodyne is aiming for a late Fall 2012 release for Windows, Mac, and Linux distros that can run Adobe AIR 2.6.
The game in itself is nice, I played it a bit on Windows.
But since it requires Adobe AIR 2.6, whose support is discontinued (Adobe dropped AIR for Linux) and does not install on modern Linux distribution (at least I did not manage to install it on Mageia 3 using the installer from Adobe), it can hardly be considered a Linux game.